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Finding the Fourth Proportional to 507,806.92, 761,817.18 and 192,256.84

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Solution

The fourth proportional to 507,806.92, 761,817.18 and 192,256.84 is: 288,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,806.92 : 761,817.18 = 192,256.84 : x
  2. Step 2: Convert to fraction form
    507,806.92/761,817.18 = 192,256.84/x
  3. Step 3: Cross multiply
    507,806.92x = 761,817.18 × 192,256.84
  4. Step 4: Simplify right side
    507,806.92x = 146,464,563,684.51
  5. Step 5: Solve for x
    x = 146,464,563,684.51/507,806.92
  6. Step 6: Final answer
    x = 288,425.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.